Thus, In A Sense, Mathematics

The Developing Science Departs At The Same Time More And More From Its Original Scope And Purpose And Threatens To Sacrifice Its Earlier Unity And Split Into Diverse Branches.

The Presentation Of Mathematics In Schools Should Be Psychological And Not Systematic. The Teacher, So To Speak, Should Be A Diplomat. He Must Take Account Of The Psychic Processes In The Boy In Order To Grip His Interest, And He Will Succeed Only If He Presents Things In A Form Intuitively Comprehensible. A More Abstract Presentation Is Only Possible In The Upper Classes.

The Greatest Mathematicians, As Archimedes, Newton, And Gauss, Always United Theory And Applications In Equal Measure.

Regarding The Fundamental Investigations Of Mathematics, There Is No Final Ending ... No First Beginning.

Mathematics In General Is Fundamentally The Science Of Self-evident Things.